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# Piece: https://leibnizlegible.com/api/records/38214/text
# Catalogue record: 38214 — De momentis figurae angulorum. De locis curvarum. 1: De momentis figurae angulorum
# Incipit: R ⊓ AC ⊓ AB ⊓ v. AE ⊓ e. ED ⊓
# Date: 1676-06
# Akademie-Ausgabe: AA VII,6 N. 016
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=38214&katnr=Cc2+1236
# AA VII,6: the volume in the Repositorium des Leibniz-Archivs (CC BY-NC 4.0): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-bd-vii-6
# In the Akademie-Ausgabe: AA VII,6, p. 191 (PDF, Repositorium des Leibniz-Archivs, CC BY-NC 4.0): https://www.gwlb.de/fileadmin/Leibniz/repositorium-des-leibniz-archivs/LAA-BdVII6.pdf#page=191
# Work: https://leibnizlegible.com/work/00067993
# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folios: Bl. 56r (from the shelfmark LH 35, 2, 1 Bl. 56r°): 1 page, canvas 111, page ids 00067993:0111 to 00067993:0111
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=111
# Lines: 98 recognised on 1 of 1 pages, mean confidence 0.78
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 56r — 00067993:0111
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 55v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000111.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 98 lines, status machine
Anis
R B ACD e ADA aec Y.
AEp e. E
Exp or aero
 e BEpr- C. AEpr +C
ere, seu momentum figure ex B
Hyrre, momentum
 figura ex R CoH.
XScor, auferatur
a restabitesys d
area figurae co XsZFasy
nenaer remel estr
vec
re aAG 1Z p 1+ rZ 
Ergo corp v
r
ta seu 2.
cor
n Z4
 et raro
+240+red- r 2ra
r+ cor t
R. depe. ANip2 P3Pus
vitro N NM iaEP
sunt co, quae sepraesentant momentum figurae angulorum, seu ipsorum arcuum ex AC. ho
sit ergo larcus ChD, seu ser proportio alis figura CA1E. FC, cujus momentum ex B, est
yidest sum. EG, idest figura B,E1GB, id est duplum segmentum B1D eo Ejusdem momenem
EP. seu figura NA1E1PN, quaeaequalis duplo Inlineo 1DRC.
omnibus expensis hinc illud tantum colligo Trilineum B+DC 1D BC1O,
+Tulin A tDRC. D aequari sectori a 1D AC , D duplicato
adeoque seu Triunus. B1DC + RiDC aequari Eriangulo A1DC. nam
quod sic ostendo ex figura superiore arus 1DC. momentum ex B est
figura AV, VA, EjGV, id est culincum 1DBC. D. Ejusdem
21B
arcus ex R momentum moenta est figurm AA. EI BC seu aplus hitiom ipac it
summa uriusque est ipse areus in RB, seu se itor quadimplicatus, rra, si a sit non
Ergo raY()) 2 FB + 2TR. et a Yp TB+ ∞ R. sectur est autem
ar arcus in tadium seu sector duplicatus. Ergo sector duplicatus aequalis his
duobus Tilineis anferatur a sectore scumenta 1B AC. dosegmentu
eodo
as soti nihil enim resert,  sumpma horum Trilineorum anferatur segmentum lvis semel abarir,  t e
  BC1D ut restet Driangulum B1D semel abalte 1DKC1b, ut restet
in ase vertem
Et
lia
conis per traiss
1010
7
eis
imptr
et per humcnumerum multiplicetur, trian
gulum basi recta data vertice, puncto
omnium rectarum commani productum eris
ma t uma
omniam rec trigulorei ba etdu se
 Duplicasum
centres mille, Trangulum paria hunimodi triangulorum, unum a rutres miblie sumtura, Triangulum
cujus eaderm basis, punctum med vertex punctum hedium commane, it centres millies sumtum aequabu
universis
dato
ad basin communem habentia
sumtis rectis quoscunquee in eodem puncto se bifecantibus; at factis tiangulis rectdatu
b basis aliue oom medi
lumma Triangulorum quoteunque basin communem habentium orectam euta positione datem; vertices
modure
ad extrema rectarum quotcunque se in puncto communi bisecentiumus invere omnium Triangulorum
isosceles, et latera et indefinite producta secent rectas priores, et centro, punsto communi per sectiones aectam
eritaletum  circuli describantur, qui misus easdem rectas puncti, communi soc in alris punctis sicent,
et per orstn puncta carculis destise
EDA VY
vel ay a raitr
(YC
1)
re Xre
et 
Ergo hinc haberi potest suum
s
dividendat + rp
adeoque figura A, EG A aequatum eret gmenit. AF ABB
Pergamus ad C0. nempe co H EPe
et ep rc a YC s RF
12+ co
ducatur curva segment rum alia simulic plane et opposita priori. 
ex A, est sco seu
unde 1Z
zrtzur ar 
e
seu n
Y24 ra
Nimiri crmi B D quadrans contrnuetur in R, ut sit semicirenli
( D)
ubi in circulo sumgatur puncta B. R.
adeoque ex diversis punctis 
divec
s
Eiangulora senne sequati
Pli AC D e tuobus ais prisae
per